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Finding the Fourth Proportional to 7,663.44, 11,495.92 and 2,983.80

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Solution

The fourth proportional to 7,663.44, 11,495.92 and 2,983.80 is: 4,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.44 : 11,495.92 = 2,983.80 : x
  2. Step 2: Convert to fraction form
    7,663.44/11,495.92 = 2,983.80/x
  3. Step 3: Cross multiply
    7,663.44x = 11,495.92 × 2,983.80
  4. Step 4: Simplify right side
    7,663.44x = 34,301,526.10
  5. Step 5: Solve for x
    x = 34,301,526.10/7,663.44
  6. Step 6: Final answer
    x = 4,476.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.